I've been surprised at how acute an edge a 'soft' kitchen blade can take. I've mentioned this in other threads, but I've got an 'imported' Chicago Cutlery 6" utility knife, purchased at Walmart for about $7, that I reprofiled using a GATCO sharpener at the lowest angle setting (it's marked at '15', but I think my finished bevel was lower than that). The blade took a tree-topping edge that's held up quite well under what I'd call 'typical' kitchen use (slicing/chopping veggies, tomatos, sandwich cutter, etc.). And the best thing is, when I do touch it up, the wide-bevelled edge is VERY easy to strop back to wicked sharp. I wouldn't worry at all about taking a 'good' knife, like a Victorinox, down to 12 degrees (or even less) per side. As long as you're not abusing it, I think it'd do just fine.
I've tried this with a couple other 'cheap' (soft) kitchen knives, and am seeing similar results. The one knife that didn't respond similarly wouldn't take a sharp edge to begin with. The 'steel' in that one just sort of 'crumbles away' at the edge when honing. I'm assuming a bad (horrible) heat treat for that one.